11119680000 has 1200 divisors, whose sum is σ = 48858185376. Its totient is φ = 2488320000.

The previous prime is 11119679953. The next prime is 11119680007. The reversal of 11119680000 is 8691111.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11119680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 855359994 + ... + 855360006.

Almost surely, 2^11119680000 is an apocalyptic number.

11119680000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11119680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24429092688).

11119680000 is an abundant number, since it is smaller than the sum of its proper divisors (37738505376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11119680000 is an frugal number, since it uses more digits than its factorization.

11119680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 11119680000 in words is "eleven billion, one hundred nineteen million, six hundred eighty thousand".